waveslim (version 1.7.5)

Dualtree Complex: Dual-tree Complex 2D Discrete Wavelet Transform

Description

Dual-tree complex 2D discrete wavelet transform (DWT).

Usage

cplxdual2D(x, J, Faf, af)
icplxdual2D(w, J, Fsf, sf)

Arguments

x

2D array.

w

wavelet coefficients.

J

number of stages.

Faf

first stage analysis filters for tree \(i\).

af

analysis filters for the remaining stages on tree \(i\).

Fsf

last stage synthesis filters for tree \(i\).

sf

synthesis filters for the preceeding stages.

Value

For the analysis of x, the output is

w

wavelet coefficients indexed by [[j]][[i]][[d1]][[d2]], where \(j=1,\ldots,J\) (scale), \(i=1\) (real part) or \(i=2\) (imag part), \(d1=1,2\) and \(d2=1,2,3\) (orientations).

For the synthesis of w, the output is

y

output signal.

References

WAVELET SOFTWARE AT POLYTECHNIC UNIVERSITY, BROOKLYN, NY http://taco.poly.edu/WaveletSoftware/

See Also

FSfarras, farras, afb2D, sfb2D.

Examples

# NOT RUN {
## EXAMPLE: cplxdual2D
x = matrix(rnorm(32*32), 32, 32)
J = 5
Faf = FSfarras()$af
Fsf = FSfarras()$sf
af = dualfilt1()$af
sf = dualfilt1()$sf
w = cplxdual2D(x, J, Faf, af)
y = icplxdual2D(w, J, Fsf, sf)
err = x - y
max(abs(err))
# }